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Finding the Fourth Proportional to 134.75, 185.96 and 76.54

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Solution

The fourth proportional to 134.75, 185.96 and 76.54 is: 105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.75 : 185.96 = 76.54 : x
  2. Step 2: Convert to fraction form
    134.75/185.96 = 76.54/x
  3. Step 3: Cross multiply
    134.75x = 185.96 × 76.54
  4. Step 4: Simplify right side
    134.75x = 14,232.07
  5. Step 5: Solve for x
    x = 14,232.07/134.75
  6. Step 6: Final answer
    x = 105.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.